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Finding the Fourth Proportional to 30,590.40, 45,902.32 and 11,871.18

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Solution

The fourth proportional to 30,590.40, 45,902.32 and 11,871.18 is: 17,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.40 : 45,902.32 = 11,871.18 : x
  2. Step 2: Convert to fraction form
    30,590.40/45,902.32 = 11,871.18/x
  3. Step 3: Cross multiply
    30,590.40x = 45,902.32 × 11,871.18
  4. Step 4: Simplify right side
    30,590.40x = 544,914,673.46
  5. Step 5: Solve for x
    x = 544,914,673.46/30,590.40
  6. Step 6: Final answer
    x = 17,813.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.